Z3
Public Member Functions | Data Fields
ArithSortRef Class Reference

Arithmetic. More...

+ Inheritance diagram for ArithSortRef:

Public Member Functions

def is_real (self)
 
def is_int (self)
 
def subsort (self, other)
 
def cast (self, val)
 
- Public Member Functions inherited from SortRef
def as_ast (self)
 
def get_id (self)
 
def kind (self)
 
def subsort (self, other)
 
def cast (self, val)
 
def name (self)
 
def __eq__ (self, other)
 
def __ne__ (self, other)
 
def __hash__ (self)
 
- Public Member Functions inherited from AstRef
def __init__ (self, ast, ctx=None)
 
def __del__ (self)
 
def __deepcopy__ (self, memo={})
 
def __str__ (self)
 
def __repr__ (self)
 
def __eq__ (self, other)
 
def __hash__ (self)
 
def __nonzero__ (self)
 
def __bool__ (self)
 
def sexpr (self)
 
def as_ast (self)
 
def get_id (self)
 
def ctx_ref (self)
 
def eq (self, other)
 
def translate (self, target)
 
def __copy__ (self)
 
def hash (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Data Fields

 ctx
 
- Data Fields inherited from AstRef
 ast
 
 ctx
 

Detailed Description

Arithmetic.

Real and Integer sorts.

Definition at line 1964 of file z3py.py.

Member Function Documentation

§ cast()

def cast (   self,
  val 
)
Try to cast `val` as an Integer or Real.

>>> IntSort().cast(10)
10
>>> is_int(IntSort().cast(10))
True
>>> is_int(10)
False
>>> RealSort().cast(10)
10
>>> is_real(RealSort().cast(10))
True

Definition at line 1999 of file z3py.py.

1999  def cast(self, val):
2000  """Try to cast `val` as an Integer or Real.
2001 
2002  >>> IntSort().cast(10)
2003  10
2004  >>> is_int(IntSort().cast(10))
2005  True
2006  >>> is_int(10)
2007  False
2008  >>> RealSort().cast(10)
2009  10
2010  >>> is_real(RealSort().cast(10))
2011  True
2012  """
2013  if is_expr(val):
2014  if __debug__:
2015  _z3_assert(self.ctx == val.ctx, "Context mismatch")
2016  val_s = val.sort()
2017  if self.eq(val_s):
2018  return val
2019  if val_s.is_int() and self.is_real():
2020  return ToReal(val)
2021  if val_s.is_bool() and self.is_int():
2022  return If(val, 1, 0)
2023  if val_s.is_bool() and self.is_real():
2024  return ToReal(If(val, 1, 0))
2025  if __debug__:
2026  _z3_assert(False, "Z3 Integer/Real expression expected" )
2027  else:
2028  if self.is_int():
2029  return IntVal(val, self.ctx)
2030  if self.is_real():
2031  return RealVal(val, self.ctx)
2032  if __debug__:
2033  _z3_assert(False, "int, long, float, string (numeral), or Z3 Integer/Real expression expected. Got %s" % self)
2034 
def IntVal(val, ctx=None)
Definition: z3py.py:2807
def If(a, b, c, ctx=None)
Definition: z3py.py:1180
def RealVal(val, ctx=None)
Definition: z3py.py:2818
def ToReal(a)
Definition: z3py.py:2963
def is_expr(a)
Definition: z3py.py:1047

§ is_int()

def is_int (   self)
Return `True` if `self` is of the sort Integer.

>>> x = Int('x')
>>> x.is_int()
True
>>> (x + 1).is_int()
True
>>> x = Real('x')
>>> x.is_int()
False

Definition at line 1981 of file z3py.py.

Referenced by ArithSortRef.cast().

1981  def is_int(self):
1982  """Return `True` if `self` is of the sort Integer.
1983 
1984  >>> x = Int('x')
1985  >>> x.is_int()
1986  True
1987  >>> (x + 1).is_int()
1988  True
1989  >>> x = Real('x')
1990  >>> x.is_int()
1991  False
1992  """
1993  return self.kind() == Z3_INT_SORT
1994 
def is_int(a)
Definition: z3py.py:2352

§ is_real()

def is_real (   self)
Return `True` if `self` is of the sort Real.

>>> x = Real('x')
>>> x.is_real()
True
>>> (x + 1).is_real()
True
>>> x = Int('x')
>>> x.is_real()
False

Definition at line 1967 of file z3py.py.

Referenced by ArithSortRef.cast().

1967  def is_real(self):
1968  """Return `True` if `self` is of the sort Real.
1969 
1970  >>> x = Real('x')
1971  >>> x.is_real()
1972  True
1973  >>> (x + 1).is_real()
1974  True
1975  >>> x = Int('x')
1976  >>> x.is_real()
1977  False
1978  """
1979  return self.kind() == Z3_REAL_SORT
1980 
def is_real(a)
Definition: z3py.py:2370

§ subsort()

def subsort (   self,
  other 
)
Return `True` if `self` is a subsort of `other`.

Definition at line 1995 of file z3py.py.

1995  def subsort(self, other):
1996  """Return `True` if `self` is a subsort of `other`."""
1997  return self.is_int() and is_arith_sort(other) and other.is_real()
1998 
def is_arith_sort(s)
Definition: z3py.py:2035

Field Documentation

§ ctx

ctx

Definition at line 2015 of file z3py.py.

Referenced by Probe.__call__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), Probe.__eq__(), Probe.__ge__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), ApplyResult.__len__(), Probe.__lt__(), Probe.__ne__(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), ApplyResult.as_expr(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Optimize.assertions(), Optimize.check(), ApplyResult.convert_model(), Optimize.from_file(), Optimize.from_string(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), Fixedpoint.get_ground_sat_answer(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Optimize.maximize(), Optimize.minimize(), Optimize.model(), Optimize.objectives(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Fixedpoint.pop(), Optimize.pop(), Fixedpoint.push(), Optimize.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), Fixedpoint.register_relation(), Fixedpoint.set(), Optimize.set(), Fixedpoint.set_predicate_representation(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), Tactic.solver(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Fixedpoint.to_string(), and Fixedpoint.update_rule().